Hidden MDM or managed device in another way

Guessing solely by the icons and menu bar in the screenshot, this unspecified app appears to be a third-party app named System Guard, or something using similar icons.

For assistance with and questions about the reports from this third-party app, contact the third-party provider. Whichever vendor and whichever app that might be.

The utun device mechanism is a mechanism available to apps to connect into the network stack, and iOS and Apple and user apps and services can (and do) all use tunnels. (This utun user tunnel stuff supplanted the older kernel extensions, which were more problematic, and that for various reasons.)

Consumers of tunnels include the obvious add-on VPN / tunnel apps, as well as FaceTime and Messages, Continuity, network proxies and content filtering, various add-on security apps, and pretty much any app that wants or needs a secure remote connection. Not all VPN / tunnel devices are active at any time, as well.

As for assistance with troubleshooting a managed device — past cellular offload Wi-Fi networks, and past mundane management profiles loaded on a managed or supervised device — you will want specialized assistance with your security. That can involve forensic access and sensitive questions; the sorts of discussions and details not appropriate for or not available around here or in any other open forum.

TL;DR: Nothing here indicates a managed device, and nothing here is evidence of a security issue. And for assistance with or concerns about what this third-party app is reporting, contact the app vendor.

Where did you find the Managed EE Profile on your phone? That information would likely be much more useful than what is posted.

The utun connections doesn't mean it is solely from a VPN or MDM. The system also creates these virtual utun connections for the purpose of routing iMessages, iCloud, AirPlay, and syncing between devices. The pdp_ip connections are similar for the cellular network. Firewalls will also create these connections, but iOS does not contain a user configurable software firewall, it is managed by the system.

Nothing seen in your post is anything of value or shows any compromise.

Did you buy this phone new or pre-owned?

I also do not see your other post among your subscriptions even with filtering. Did you receive a email from the Apple moderators about the post being removed for cause? Such emails would go to the email address associated with your Apple Account/Apple ID .

I will ask the moderators to move your question to the iPhone forums where you will get more views and faster help. This section, "Using the Communities," was supposed to be about asking questions about using the forums but has turned into a dumping ground. As a result, many experienced helpers do not visit here.

For future visits here, please bookmark this site map: Site Map - Apple Community

That way you can more easily find where to place a question.

Cheers!